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Finding the Fourth Proportional to 1,575.65, 2,363.82 and 465.09

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Solution

The fourth proportional to 1,575.65, 2,363.82 and 465.09 is: 697.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.65 : 2,363.82 = 465.09 : x
  2. Step 2: Convert to fraction form
    1,575.65/2,363.82 = 465.09/x
  3. Step 3: Cross multiply
    1,575.65x = 2,363.82 × 465.09
  4. Step 4: Simplify right side
    1,575.65x = 1,099,389.04
  5. Step 5: Solve for x
    x = 1,099,389.04/1,575.65
  6. Step 6: Final answer
    x = 697.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.